\ctexset{
    chapter/number = ,
}

\chapter{公式表}\label{ch:gongshibiao}

\textbf{第一章} \quad 异面直线上两点间距离公式
$$ EF = \sqrt{d^2 + m^2 + n^2 \pm 2mn \cos\theta} \juhao $$

\textbf{第二章}


\begin{table}[htbp]
    \centering
    \begin{tblr}{
        hline{1,11}={1.5pt,solid},
        hline{2,6}={solid},
        vline{1,4}={1.5pt,solid},
        vline{2,3}={solid},
        row{3-5,9,10}={belowsep+=.5em},
        row{1}={c},
    }
        图形 & 侧面积公式 & 体积公式 \\
        \SetCell[r=4]{c} 多面体
            & $S_\text{直棱柱侧} = ch$ &  $V_\text{棱柱} = Sh$ \\
            & $S_\text{正棱锥侧} = \exdfrac{1}{2} ch'$ & $V_\text{棱锥} = \exdfrac{1}{3} Sh$ \\
            & $S_\text{正棱台侧} = \exdfrac{1}{2} (c + c') h'$ & $V_\text{棱台} = \exdfrac{1}{3} h (S + \sqrt{SS'} + S')$ \\
            &                                                 & $V_\text{拟柱体} = \exdfrac{1}{6} h (S + 4S_0 + S')$ \\
        \SetCell[r=5]{c} 旋转体
            & $\begin{aligned}[t]
                S_\text{圆柱} &= c \, l \\
                            & = 2 \pi rl
            \end{aligned}$ & $V_\text{圆柱} = \pi r^2h$ \\
            & $\begin{aligned}[t]
                S_\text{圆锥} &= \exdfrac{1}{2} c \, l \\
                            & = \pi rl
            \end{aligned}$ & $V_\text{圆锥} = \exdfrac{1}{3} \pi r^2h$ \\
            & $\begin{aligned}[t]
                S_\text{圆台} &= \exdfrac{1}{2} (c + c') \, l \\
                            & = \pi (r + r') \, l
            \end{aligned}$ & $V_\text{圆台} = \exdfrac{1}{3} \pi h (r^2 + rr' + r'\,^2) $ \\
            & $S_\text{球} = 4 \pi R^2$ & $V_\text{球} = \exdfrac{4}{3} \pi R^3$ \\
            & $\begin{aligned}[t]
                S_\text{球冠} &= 2 \pi Rh \\
                            & = \pi (r^2 + h^2)
            \end{aligned}$ & $\begin{aligned}[t]
                V_\text{球缺} &= \exdfrac{1}{3} \pi h^2 (3R - h) \\[.5em]
                            & = \exdfrac{1}{6} \pi h (3r^2 + h^2)
            \end{aligned}$
    \end{tblr}
\end{table}


\textbf{第三章} \quad 欧拉公式
$$ V + F - E = 2 \juhao $$

